I have 'category_preferences' saved in each user_meta which is an array of term IDs of a custom taxonomy. The custom taxonomy has ~100 items. As an example of the meta field value, where 14 and 15 are the term IDs:
array (size=1)
0 => string 'a:2:{i:0;s:2:"14";i:1;s:2:"15";}' (length=32)
What would be the most efficient way of performing a custom post type query that returns a list of posts that match at least one of the 'saved' category preferences?